19481204736 has 144 divisors (see below), whose sum is σ = 64303621200. Its totient is φ = 5566021632.

The previous prime is 19481204719. The next prime is 19481204759. The reversal of 19481204736 is 63740218491.

19481204736 is a `hidden beast` number, since 19 + 48 + 120 + 473 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 19481204691 and 19481204700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53530 + ... + 204518.

It is an arithmetic number, because the mean of its divisors is an integer number (446552925).

Almost surely, 2^19481204736 is an apocalyptic number.

19481204736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19481204736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32151810600).

19481204736 is an abundant number, since it is smaller than the sum of its proper divisors (44822416464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19481204736 is a wasteful number, since it uses less digits than its factorization.

19481204736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151024 (or 151001 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19481204736 in words is "nineteen billion, four hundred eighty-one million, two hundred four thousand, seven hundred thirty-six".